131132311003200 has 1008 divisors, whose sum is σ = 480580606080960. Its totient is φ = 31115983749120.

The previous prime is 131132311003151. The next prime is 131132311003217. The reversal of 131132311003200 is 2300113231131.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9311383359 + ... + 9311397441.

Almost surely, 2^{131132311003200} is an apocalyptic number.

131132311003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131132311003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240290303040480).

131132311003200 is an abundant number, since it is smaller than the sum of its proper divisors (349448295077760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131132311003200 is a wasteful number, since it uses less digits than its factorization.

131132311003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14304 (or 14252 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131132311003200 its reverse (2300113231131), we get a palindrome (133432424234331).

The spelling of 131132311003200 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, three hundred eleven million, three thousand, two hundred".